Relation Between Wiener Index and First Zagreb Index with First Zagreb Coindex

In this paper, we establish extremal results and bounds of Wiener index with respect to the sum of the first Zagreb index and the first Zagreb coindex of a graph given its minimum and maximum degrees together with its diameter. We have shown that nontrivial complete graphs correspond to extremal graphs.

Authors

Publication Details

Journal
International journal of mathematics and computer science
Published
2025-01-01
DOI
https://doi.org/10.69793/ijmcs/04.2025/edwinfabillar
Primary Topic
Graph theory and applications
Type
article
Field-Weighted Citation Impact
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article

Relation Between Wiener Index and First Zagreb Index with First Zagreb Coindex

N. Mohammad, Faricia Abdulwahid, Edwin Fabillar, Rachel Patangan et al.
International journal of mathematics and computer science
Graph theory and applications
article

Relation Between Wiener Index and First Zagreb Index with First Zagreb Coindex

N. Mohammad, Faricia Abdulwahid, Edwin Fabillar, Rachel Patangan, Mae Militante
article en

Abstract

In this paper, we establish extremal results and bounds of Wiener index with respect to the sum of the first Zagreb index and the first Zagreb coindex of a graph given its minimum and maximum degrees together with its diameter. We have shown that nontrivial complete graphs correspond to extremal graphs.

International journal of mathematics and computer science
Openalex Percentile: Top 75%
Graph theory and applications
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Relation Between Wiener Index and First Zagreb Index with First Zagreb Coindex — N. Mohammad, Faricia Abdulwahid, et al. · International journal of mathematics and computer science (2025) | TGRS Research Map | TGRS